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Quasi-metric spaces and point-free geometry

Published online by Cambridge University Press:  21 February 2006

ANNA DI CONCILIO  and
GIANGIACOMO GERLA
ANNA DI CONCILIO
Affiliation:
Dipartimento di Matematica e Informatica, Via Ponte don Melillo, 84084 Fisciano (Salerno), Italy
GIANGIACOMO GERLA
Affiliation:
Dipartimento di Matematica e Informatica, Via Ponte don Melillo, 84084 Fisciano (Salerno), Italy
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Abstract

An approach to point-free geometry based on the notion of a quasi-metric is proposed in which the primitives are the regions and a non-symmetric distance between regions. The intended models are the bounded regular closed subsets of a metric space together with the Hausdorff excess measure.

Type
Paper
Information
Mathematical Structures in Computer Science , Volume 16 , Issue 1 , February 2006 , pp. 115 - 137
Copyright
2006 Cambridge University Press

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